Hilbert's Radio Address - Bibliography - About the Author

Bibliography

Some cited works have appeared in several versions. Information about the first often has historical interest, even when reference to a later one is more appropriate. In such cases, both dates are given.

Du Bois-Reymond, Emil. [1872] 1874. On the limits of natural science. Popular Science Monthly 5: 17–32. (This American journal was founded in 1872; in altered form it is still published.) Translation by Joseph Fitzgerald of “Über die Grenzen des Naturerkennens,” a lecture presented to the meeting of the Society of German Natural Scientists and Physicians in Leipzig in 1872, and published there that year by Veit & Comp.

Ewald, William B., editor. 1996. From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Two volumes. Oxford: Clarendon Press. Contains Hilbert [1930] 1996 and Kronecker [1887] 1996.

Franzén, Torkel. 2005. Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse. Wellesley: A K Peters.

Galilei, Galileo. [1623] 1960. The Assayer. Translated by Stillman Drake. The Controversy on the Comets of 1618, by Galileo Galilei et al., 163–336. Philadelphia: University of Pennsylvania Press. Originally published as Il saggiatore in Rome, by Giacomo Mascardi.

Gauss, Carl Friedrich. [1808] 1863. Theorematis arithmetici demonstratio nova (New proof of an arithmetical theorem). In Gauss 1863–1929, volume 2, 151–154. Presented to the Society on 15 January 1808 in handwritten form, this German paraphrase was published in Göttingische gelehrte Anzeigen on 12 May 1808.

Hilbert, David. [1900] 1902. Mathematical problems. Bulletin of the American Mathematical Society 8 (1902), no. 10: 437–479. Translation by Mary Winston Newson of “Mathematische Probleme,” an address presented to the International Congress of Mathematicians (ICM) in Paris in 1900 and published in Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse 1900: 253–297. (Editor’s note: Like many items in this Bibliography, Mary Winston Newson's translation into English of Hilbert's address to the 1900 ICM in Paris is available online, including at the AMS website as a full-text pdf of Mathematical Problems: Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900 and at the website of David Joyce of Clark University as Hilbert's Address of 1900 and His 23 Mathematical Problems.)

Minkowski, Hermann. [1908] 1923. Space and time. The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity, by H. A. Lorenz et al., with notes by A. Sommerfeld, 73–91. London: Methuen and Company. Translation by W. Perrett and G. B. Jeffrey of “Raum und Zeit,” an address presented to the Society of German Natural Scientists and Physicians in Cologne in 1908 and published in Jahresbericht der Deutschen Mathematiker-Vereinigung 10: 75–88.

Rowe, David E. 2013. History quiz: Who linked Hegel’s philosophy with the history of mathematics? Mathematical Intelligencer 35: 38–41. While the title question may not be directly relevant to the present paper, Rowe’s background discussion certainly is.

Schiller, Friedrich. 1795. Archimedes und der Schüler. Die Horen 11: item 7. This journal was published by Schiller himself. It is accessible online. In English, the title means The Horæ (goddesses of the seasons). This poem is reprinted in many editions of Schiller’s works.

Tolstoy, Lev Nikolayevich. 1899. What is to be done? Life. Translated by Isabel F. Hapgood. New York: Thomas Y. Crowell. A translation of a redacted version of the essay “What is to be done” was published in 1887. The material quoted in the present article, however, is from this revised, uncensored 1899 version. There are many more recent versions.

About the Author

James T. Smith received the A.B. from Harvard College in 1961 and Ph.D. from the University of Saskatchewan, Regina, in 1970, in foundations of geometry. Since then he has worked primarily at San Francisco State University, mostly teaching and writing, and in software development. He is now retired but fully occupied with history, especially the legacies of Mario Pieri and Alfred Tarski.